Let's divide 683674 by 25
We want to divide 683674 by 25.

Going ahead to step 1:
If we divide 6 by 25, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 25

Moving on to step 2:
The number 25 fits into 68 2 times, leaving a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 50 from 68 to get 18.
Append the next digit (3) from the dividend to 18 and continue with: 183 / 25

Step 3:
25 can be fit into 183 7 times, resulting in a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 27.0
The remainder is 8 after subtracting 175 from 183.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 25

Let's proceed to step 4:
The number 25 fits into 86 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 273.0
The remainder is 11 after subtracting 75 from 86.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 25

Moving on to step 5:
When dividing 117 by 25, we get 4 with a remainder of 17.
The next digit of our result is 4. 
Result so far: 2734.0
Subtract 100 from 117 to get 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 25

Going ahead to step 6:
174 divided by 25 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 27346.0
If we subtract 150 from 174, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
240 divided by 25 is 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 27346.9
If we subtract 225 from 240, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
150 divided by 25 is 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 27346.96
If we subtract 150 from 150, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 27346.96
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 27346.96
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 27346.96 with a remaining 0.0.